Master

Line Symmetry

Master line symmetry with interactive lessons and practice problems! Designed for students like you!

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Line Symmetry

Study Guide

Key Definition

Line symmetry occurs when a figure can be divided into two identical parts by a straight line, known as the line of symmetry. Each side mirrors the other.

Important Notes

Symmetrical objects are visually pleasing.
A line of symmetry divides a figure into mirrored halves.
Every point on one side of the line has a corresponding point on the other side.
The line of symmetry can be vertical, horizontal, or diagonal.
Not all shapes have line symmetry.

Mathematical Notation

$\angle$ represents an angle

$\triangle$ represents a triangle

$\cong$ means congruent

$\sim$ means similar

$\frac{a}{b}$ represents a fraction

Remember to use proper notation when solving problems

Why It Works

Line symmetry works because of the property of reflection, where each point is equidistant from the line of symmetry.

Remember

A shape may have multiple lines of symmetry or none at all. A circle has infinitely many lines of symmetry.

Quick Reference

Line of Symmetry:A line that divides a shape into two mirrored halves.

Understanding Line Symmetry

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

Line symmetry is when a shape can be divided into two identical halves by a line.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Which of the following shapes has a line of symmetry?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

A teenager is designing a logo and wants it to be symmetrical. How many lines of symmetry should the logo have if it's a perfect circle?

Thinking Challenge

Thinking Exercise